Question

scrieti numarul  35³⁷ ca suma a doua cuburi perfecte
Va rog!!! ajutor!!

Answer 1

$35^{37} = 35 * 35^{36}$

$35^{36} = ( 35^{12} )^{3}$    cub perfect

$35^{37} = (35^{12}) ^{3} * 35$

35 = 27 +8 = $3^{3} + 2^{3}$

$35^{37} = 35^{36} * 35 = (8+27) * 35^{36}$

= $( 2^{3} + 3^{3} ) * (35^{12} ) ^{3} = 2^{3} * (35^{12} )^{3} + 3^{3} *( 35^{12} )^{3}$

= $(2* 35^{12}) ^{3} + (3* 35^{12} ) ^{3}$